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SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    The diagonal of a square is \[4\sqrt{2}\,\text{cm}\]. The diagonal of another square whose area is double that of the first square is

    A)  \[8\sqrt{2}\,\,cm\]                     

    B)  16 cm   

    C)  \[\sqrt{32}\,\,cm\]                     

    D)  8 cm

    Correct Answer: D

    Solution :

    Side of the first square \[=\frac{1}{\sqrt{2}}\times 4\sqrt{2}=4\,\,cm\] Its area \[={{(4)}^{2}}=16\,\,c{{m}^{2}}\] \[\therefore \] Area of second square \[=2\times 16=32\,\,c{{m}^{2}}\] Its side \[=\sqrt{32}=4\sqrt{2}\,\,cm\] \[\therefore \]Required diagonal \[=\sqrt{2}\times 4\sqrt{2}=8\,\,cm\]


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